No disrespect, but you have seen way too many movies. The tried and true number one rule of survival in such situation is to flee immediately while still in the parking lot with the car off. Never allow anyone with criminal intent take you anyplace.

Even a criminal willing to shoot you on a private road is going to think twice about opening fire on a fleeing person in a public area...and if they are willing to shoot a fleeing person in a public area they were most likely going to kill you later anyway.

Trying a high speed maneuver is only risking your physical safety and the safety of anyone else on the road. There is nothing to keep him from blowing your brains out the second you put your foot down on the accelerator...and he would be making that decision under fear of his life which would make the decision easier for him to make.